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Finding the Third Proportional to 456,223,497 and 936,632,748

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Solution

The third proportional to 456,223,497 and 936,632,748 is: 1,922,919,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,223,497 : 936,632,748 = 936,632,748 : x
  2. Step 2: Convert to fraction form
    456,223,497/936,632,748 = 936,632,748/x
  3. Step 3: Cross multiply
    456,223,497x = 936,632,748 × 936,632,748
  4. Step 4: Simplify right side
    456,223,497x = 877,280,904,626,031,488
  5. Step 5: Solve for x
    x = 877,280,904,626,031,488/456,223,497
  6. Step 6: Final answer
    x = 1,922,919,162.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.